A short KS3 Maths foundations check

Starting at −7 and moving 12 places to the right reaches 5.

Subtract 5 from both sides to get 3x = 15, then divide by 3: x = 5.

Substitute carefully: 2(4) − (−2) = 8 + 2 = 10.

10% of 240 is 24 and 5% is 12, so 15% is 24 + 12 = 36.

The ratio has 8 parts, so one part is 40 ÷ 8 = 5. The smaller share is 3 × 5 = 15.

Angles in a triangle total 180°. The third angle is 180 − 48 − 67 = 65°.

Area = 12 × (6 + 10) × 4 = 12 × 16 × 4 = 32 cm².

The total is 30. Dividing by the four values gives 30 ÷ 4 = 7.5.